Analytical and Computational Aspects of Collaborative Optimization for Multidisciplinary Design

Analytical features of multidisciplinary optimization (MDO) problem formulations have significant practical consequences for the ability of nonlinear programming algorithms to solve the resulting computational optimization problems reliably and efficiently. We explore this important but frequently overlooked fact using the notion of disciplinary autonomy. Disciplinary autonomy is a desirable goal in formulating and solving MDO problems; however, the resulting system optimization problems are frequently difficult to solve. We illustrate the implications of MDO problem formulation for the tractability of the resulting design optimization problem by examining a representative class of MDO problem formulations known as collaborative optimization. We also discuss an alternative problem formulation, distributed analysis optimization, that yields a more tractable computational optimization problem.

[1]  K. Ikemura.  Development and application , 1971 .

[2]  Lucien A. Schmit,et al.  MultiLevel Approach to Minimum Weight Deesign Including Buckling Constraints , 1978 .

[3]  Philip E. Gill,et al.  Practical optimization , 1981 .

[4]  J. Sobieszczanski-Sobieski,et al.  A linear decomposition method for large optimization problems. Blueprint for development , 1982 .

[5]  Massood Mehrinfar,et al.  Multilevel optimum design of structures with fiber-composite stiffened-panel components , 1982 .

[6]  J. Sobieszczanski-Sobieski,et al.  Extrapolation of Optimum Design Based on Sensitivity Derivatives , 1983 .

[7]  Michael A. Saunders,et al.  User''s guide for NPSOL (Ver-sion 4.0): A FORTRAN package for nonlinear programming , 1984 .

[8]  Asme,et al.  A collection of technical papers : AIAA/ASME/ASCE/AHS 25th Structures, Structural Dynamics and Materials Conference, May 14-16, 1984 Palm Springs, California and AIAA dynamics specialisys conference, May 17-18, 1984 Palm Springs, California , 1984 .

[9]  L. Schmit,et al.  A multilevel method for structural synthesis , 1984 .

[10]  Michael A. Saunders,et al.  Software and its relationship to methods , 1984 .

[11]  J. Sobieszczanski-Sobieski,et al.  Structural optimization by multilevel decomposition , 1983 .

[12]  Jaroslaw Sobieszczanski-Sobieski,et al.  Structural sizing by generalized, multilevel optimization , 1987 .

[13]  J. Barthelemy,et al.  Improved multilevel optimization approach for the design of complex engineering systems , 1988 .

[14]  Howard M. Adelman,et al.  Recent advances in integrated multidisciplinary optimization of rotorcraft , 1992 .

[15]  John E. Dennis,et al.  On Alternative Problem Formulations for Multidisciplinary Design Optimization , 1992 .

[16]  J. Sobieszczanski-Sobieski.  Two alternative ways for solving the coordination problem in multilevel optimization , 1993 .

[17]  Jaroslaw Sobieszczanski-Sobieski,et al.  OPTIMIZATION OF COUPLED SYSTEMS: A CRITICAL OVERVIEW OF APPROACHES , 1994 .

[18]  Ilan Kroo,et al.  Development and Application of the Collaborative Optimization Architecture in a Multidisciplinary Design Environment , 1995 .

[19]  Robert Michael Lewis,et al.  Practical Aspects Of Variable Reduction Formulations And Reduced Basis Algorithms In Multidisciplina , 1995 .

[20]  Robert D. Braun,et al.  Collaborative optimization: an architecture for large-scale distributed design , 1996 .

[21]  Ilan Kroo,et al.  Aircraft design using collaborative optimization , 1996 .

[22]  Ilan Kroo,et al.  Collaborative Approach to Launch Vehicle Design , 1997 .

[23]  Srinivas Kodiyalam,et al.  Initial Results of an MDO Method Evaluation Study , 1998 .

[24]  Joseph Giesing,et al.  A summary of industry MDO applications and needs , 1998 .

[25]  Natalia Alexandrov,et al.  Comparative properties of collaborative optimization and other approaches to MDO , 1999 .

[26]  Valerie Michelle Manning.  High Speed Civil Transport Design Using Collaborative Optimization and Approximate Models , 1999 .

[27]  Ilan Kroo,et al.  Collaborative optimization using response surface estimation , 1998 .

[28]  Andrew Scott,et al.  Comparison of Collaborative Optimization to Conventional Design Techniques for a Conceptual RLV , 2000 .

[29]  N. M. Alexandrov,et al.  Analytical and Computational Properties of Distributed Approaches to MDO , 2000 .

[30]  Tao Jiang,et al.  Target Cascading in Optimal System Design , 2003, DAC 2000.

[31]  N. M. Alexandrov,et al.  Algorithmic Perspectives on Problem Formulations in MDO , 2000 .

[32]  L Walsh Joanne,et al.  Integrated Aerodynamic/Dynamic/Structural Optimization of Helicopter Rotor Blades Using Multilevel Decomposition , 2003 .

[33]  A. Galip Ulsoy,et al.  Ranking subsystem targets according to their influence on system performance , 2003, Proceedings of the 2003 American Control Conference, 2003..

[34]  Timothy W. Simpson,et al.  Multidisciplinary Robust Design Optimization of an Internal Combustion Engine , 2003 .